Answer:
17.3 cigarettes represent the 35th percentile
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What number of cigarettes would represent the 35th percentile?
This is the value of X when Z has a pvalue of 0.35. So it is X when Z = -0.385.
So
17.3 cigarettes represent the 35th percentile
I have a strong felling the answer is the fourth shoice according to my calculations.
Answer:
13 and three-fourths inches
Step-by-step explanation:
The map distance can be found using a proportion with the map scale.
__
map distance / (1100 mi) = (1 in) / (80 mi)
map distance = (1100×1)/80 in = 13 3/4 in . . . multiply by 1100 mi; cancel mi
The trip will be about 13 3/4 inches on the map.
Answer:
The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
Step-by-step explanation:
Given;
Simplifying further;
5k - 8 = 20 ------- (1)
5k - 8 = -20------(2)
Solving equation (1)
5k - 8 = 20
5k = 28
k = 28 /5 = 5 ³/₅
Solving equation (2)
5k - 8 = -20
5k = -20 + 8
5k = -12
k = -12 / 5 = -2 ²/₅
Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
The answer is 380 as you use the circumference to find the radius and use the surface area of a sphere equation to get your answer.
